What is the answer to 8^{x-2}=125 ?

The answer to 8^{x-2}=125 is x=(ln(5))/(ln(2))+2

Solve for x: 8^{x-2}=125

The solution is x=(ln(5))/(ln(2))+2

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8^{x - 2} = 125

x = \frac{ln ( 5 )}{ln ( 2 )} + 2

Decimal Notation

x = 4.32192 \dots

Solution steps

8^{x - 2} = 125

Apply exponent rules

(x - 2) ln (8) = ln (125)

Solve

(x - 2) ln (8) = ln (125) : x = \frac{ln ( 5 )}{ln ( 2 )} + 2

x = \frac{ln ( 5 )}{ln ( 2 )} + 2

(\frac{1}{3})^{x + 2} = 3 x + 1

1 5^{4 x} = 8^{x - 9}

3^{2 n - 1} = \frac{1}{81}

3^{x + 1} + 3^{x + 2} + 3^{x - 1} = 999

What is the answer to 8^{x-2}=125 ?
The answer to 8^{x-2}=125 is x=(ln(5))/(ln(2))+2
Solve for x: 8^{x-2}=125
The solution is x=(ln(5))/(ln(2))+2